All categories

1 year ago

What is the length of the y-component of the vector plotted below?

Mathematics

1 answer:

Inessa05 [86]1 year ago

7 0

Answer:

Option A.

Step-by-step explanation:

The vector shown in the figure has components on the x axis and on the y axis.

If each small box on the draw represents a unit, it can be seen that the vector has a component of length equal to 1 on the positive y-axis and a length equal to 4 on the positive x-axis.

Look at the attached image

The sum of these two components results in the vector shown in the figure. Therefore the correct option is option A.

The length is equal to 1

You might be interested in

From 2003 onward, the number of daily visitors to a website increased by 200% every two years. So, for example, the number of vi

SSSSS [86.1K]

It takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

Solution:

Let the number of visitors in 2003 be 100

From 2003 onward, the number of daily visitors to a website increased by 200% every two years

Therefore, Number of visitors in 2005 is given as:

Visitors in 2005 = 100 + 200 % of 100

$Visitors\ in\ 2005 = 100 + \frac{200}{100} \times 100\\$

Visitors in 2005 is 300

Similarly, in 2007, the number of visitors is given as:

Visitors in 2007 = 300 + 200 % of 300

Visitors in 2007 = 300 + 600

Visitors in 2007 = 900

Now find the percentgae increase from 2003 to 2007

$\text { Percentage increase }=\frac{\text {visitors in } 2007-\text {visitors in } 2003}{\text {visitors in } 2003} \times 100$

$\text{percentgae increase} = \frac{900 - 100}{100} \times 100\\\\\text{percentgae increase} = 800$

Thus it is a 800 % increase

Number of years = 2007 - 2003 = 4 years

Thus it takes 4 years for number of daily visitors to be 800% more than the number of daily visitors in 2003

4 0

2 years ago

Write g(x) = 40x + 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect

Aliun [14]

G(x)=4x^2+40x
g(x)=4(x^2+10x)
g(x)=4(x^2+10x+25)-4(25)
g(x)=4(x+5)^2-100

the missing numbers that should be filled in the blanks are:
4, 5, 100

6 0

2 years ago

Read 2 more answers

Monitoring the emerald ash borer. The emerald ash borer is a beetle that poses a serious threat to ash trees. Purple traps are o

Agata [3.3K]

Answer:

B becausde fuhdsdjncd

Step-by-step explanation:

4 0

1 year ago

Circle R is shown. Tangents F G and H G intersect at point G outside of the circle to form an angle with a measure of 50 degrees

vodka [1.7K]

Answer:

if x = arc FG, then x = 130 degrees, the bigger arc is 230 degrees.

Step-by-step explanation:

We see there are 2 tangent lines of circle R

There is a theorem that says angle FGH = [ (arc FEH) - (arc (FH)] /2

50 = (arc FEH - arc FH) /2

arc FEH - arc FH = 100

and arc FEH + arc FH = 360

solving this system you should get FH = 130 and FEH = 230

4 0

2 years ago

Read 2 more answers

If LaTeX: m\angle ABF=8s-6m ∠ A B F = 8 s − 6 and LaTeX: m\angle ABE=2\left(s+11\right)m ∠ A B E = 2 ( s + 11 ), find LaTeX: m\a

kolbaska11 [484]

Answer:

Step-by-step explanation:

Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;

∠ABF = ∠ABE + ∠EBF

Substituting the given angles into the equation to get the unknown;

8s-6 = 2(s + 11)+ ∠EBF

open the parenthesis

8s-6 = 2s + 22+ ∠EBF

∠EBF = 8s-6-2s-22

collect the like terms

∠EBF = 8s-2s-22-6

∠EBF = 6s-28

factor out the common multiple

∠EBF = 2(3s-14)

Hence the measure of angle ∠EBF is 2(3s-14)

8 0

2 years ago